Bounds on the response of a drilling pipe model

Fridman, Emilia; Mondié, Sabine; Saldivar, Belem

doi:10.1093/imamci/dnq024

Cited by 38 publications

(30 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…A drilling mechanism was first modeled in [11] using the work of [7]. This system described in Figure 1 is the result of a coupling between a radial deformation and an axial movement.…”

Section: A Modeling Of the Drilling Processmentioning

confidence: 99%

See 1 more Smart Citation

Exponential Lyapunov Stability Analysis of a Drilling Mechanism

Barreau

Seuret

Gouaisbaut

2018

2018 IEEE Conference on Decision and Control (CDC)

View full text Add to dashboard Cite

This article deals with the stability analysis of a drilling system which is modelled as a coupled ordinary differential equation / string equation. The string is damped at the two boundaries but leading to a stable open-loop system. The aim is to derive a linear matrix inequality ensuring the exponential stability with a guaranteed decay-rate of this interconnected system. A strictly proper dynamic controller based on boundary measurements is proposed to accelerate the system dynamics and its effects are investigated through the stability theorem and simulations. It results in an efficient finite dimension controller which subsequently improves the system performances.

show abstract

“…A drilling mechanism was first modeled in [11] using the work of [7]. This system described in Figure 1 is the result of a coupling between a radial deformation and an axial movement.…”

Section: A Modeling Of the Drilling Processmentioning

confidence: 99%

“…The term T nl is a non-linear function related to the change of torque and given below. To simplify the system as done in [11], we Fig. 1.…”

Section: A Modeling Of the Drilling Processmentioning

confidence: 99%

Exponential Lyapunov Stability Analysis of a Drilling Mechanism

Barreau

Seuret

Gouaisbaut

2018

2018 IEEE Conference on Decision and Control (CDC)

View full text Add to dashboard Cite

show abstract

“…Nevertheless, they are too far from the physical laws which are expressed in terms of partial differential equation. Then, a coupled finite/infinite dimensional model seems more natural in the context of a drilling pipe and it was proposed in [14], [20], [38] for instance.…”

Section: Introductionmentioning

confidence: 99%

Practical Stability Analysis of a Drilling Pipe Under Friction With a PI-Controller

Barreau

Gouaisbaut

Seuret

2021

IEEE Trans. Contr. Syst. Technol.

View full text Add to dashboard Cite

This paper deals with the stability analysis of a drilling pipe controlled by a PI controller. The model is a coupled ODE / PDE and is consequently of infinite dimension. Using recent advances in time-delay systems, we derive a new Lyapunov functional based on a state extension made up of projections of the Riemann coordinates. First, we will provide an exponential stability result expressed using the LMI framework. This result is dedicated to a linear version of the torsional dynamic. On a second hand, the influence of the nonlinear friction force, which may generate the well-known stick-slip phenomenon, is analyzed through a new stability theorem. Numerical simulations show the effectiveness of the method and that the stick-slip oscillations cannot be weaken using a PI controller.

show abstract

“…Integration along characteristics of the hyperbolic partial differential equations (here d'Alembert method) allows the association of certain system of functional equations to the mixed problem. This paper is concerned by an application which can be modeled by such equations; therefore, the above idea is adopted, see Balanov et al [2002], Fridman et al [2010], Rouchon [1998], Saldivar et al [2011]. The analysis and modeling of rotary drilling vibrations is a topic whose economical interest has been renewed by recent oilfields discoveries leading to a growing literature, see for instance Richard et al [2007], Germay et al [2005], Navarro-López [2009], Navarro-López andCortés [2007], Navarro-López and Suárez [2004a], Boussaada et al [2012a] and Navarro-López and Suárez [2004b].…”

Section: Introductionmentioning

confidence: 99%

Control of Drilling Vibrations: A Time-Delay System-Based Approach

Boussaada

Çela²,

Mounier

et al. 2013

IFAC Proceedings Volumes

View full text Add to dashboard Cite

The main purpose of this study is the control of both axial and torsional vibrations occurring along a rotary oilwell drilling system. This work completes a previous author's paper (Boussaada et al. [2012a]) which presents the description of the qualitative dynamical response of a rotary drilling system with a drag bit, using a model that takes into consideration the axial and the torsional vibration modes of the bit. The studied model, based on the interface bit-rock, contains a couple of wave equations with boundary conditions consisting of the angular speed and the axial speed at the top additionally to the angular and axial acceleration at the bit whose contain a realistic frictional torque. Our analysis is based on the center manifold theorem and normal forms theory whose allow us to simplify the model. By this way we design two control laws allowing to suppress the undesired vibrations guaranteeing a regular drilling process. * This work is published in the 11th IFAC Workshop on Time Delay Systems June 22-24, 2012 Grenoble, FRANCE

show abstract

Bounds on the response of a drilling pipe model

Cited by 38 publications

References 6 publications

Exponential Lyapunov Stability Analysis of a Drilling Mechanism

Exponential Lyapunov Stability Analysis of a Drilling Mechanism

Practical Stability Analysis of a Drilling Pipe Under Friction With a PI-Controller

Control of Drilling Vibrations: A Time-Delay System-Based Approach

Contact Info

Product

Resources

About